21648702050976 has 1152 divisors, whose sum is σ = 82639399772160. Its totient is φ = 4802731315200.

The previous prime is 21648702050953. The next prime is 21648702050977. The reversal of 21648702050976 is 67905020784612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (21648702050977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1020625011 + ... + 1020646221.

It is an arithmetic number, because the mean of its divisors is an integer number (71735590080).

Almost surely, 2^{21648702050976} is an apocalyptic number.

21648702050976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21648702050976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319699886080).

21648702050976 is an abundant number, since it is smaller than the sum of its proper divisors (60990697721184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21648702050976 is a wasteful number, since it uses less digits than its factorization.

21648702050976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 21309 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 21648702050976 in words is "twenty-one trillion, six hundred forty-eight billion, seven hundred two million, fifty thousand, nine hundred seventy-six".